Details

Time bar (total: 4.4s)

sample28.0ms

Algorithm
intervals
Results
11.0ms362×body80valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.5b
(/ y (* z 3.0))
7.1b
(/ t (* (* z 3.0) y))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
11.0ms
(/ y (* z 3.0))
18.0ms
(/ t (* (* z 3.0) y))

series130.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
18.0ms
(/ y (* z 3.0))
26.0ms
(/ t (* (* z 3.0) y))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0405532
12039469
25001469

prune201.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.5b
(/ y (* z 3.0))
5.5b
(/ (/ t (* z 3.0)) y)

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
83.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
8.0ms
(/ t (* z 3.0))
8.0ms
(/ y (* z 3.0))
15.0ms
(/ (/ t (* z 3.0)) y)

series127.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
16.0ms
(/ t (* z 3.0))
16.0ms
(/ y (* z 3.0))
25.0ms
(/ (/ t (* z 3.0)) y)

simplify50.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0482721
11906657
25002657

prune265.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
5.5b
(/ (/ t (* z 3.0)) y)

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
69×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
4 → 158
Calls
4 calls:
157.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
11.0ms
(/ (/ y z) 3.0)
8.0ms
(/ t (* z 3.0))
15.0ms
(/ (/ t (* z 3.0)) y)

series122.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
19.0ms
(/ (/ y z) 3.0)
16.0ms
(/ t (* z 3.0))
25.0ms
(/ (/ t (* z 3.0)) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
07281085
129341019
250011019

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
0.2b
(/ (/ t z) 3.0)
0.2b
(/ (/ y z) 3.0)
5.5b
(/ (/ (/ t z) 3.0) y)

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
543×times-frac
277×*-un-lft-identity
272×add-sqr-sqrt add-cube-cbrt
69×associate-/l*
27×div-inv
23×add-exp-log add-cbrt-cube
12×cbrt-undiv div-exp
9×associate-/r* add-log-exp
4×pow1
3×frac-2neg clear-num associate-/l/
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
4 → 351
Calls
4 calls:
207.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
12.0ms
(/ (/ t z) 3.0)
14.0ms
(/ (/ y z) 3.0)
24.0ms
(/ (/ (/ t z) 3.0) y)

series124.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ (/ t z) 3.0) y))
16.0ms
(/ (/ t z) 3.0)
16.0ms
(/ (/ y z) 3.0)
25.0ms
(/ (/ (/ t z) 3.0) y)

simplify57.0ms

Algorithm
egg-herbie
Counts
363 → 363
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014363003
150012923

prune1.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes92.0ms

Accuracy

75.8% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch100.0ms

Steps
ItersRangePoint
9
5.438907513971891e+45
2.905752377093217e+53
5.854675196306246e+46
9
-59659.76955852379
-0.05643999566738478
-43648.09610487145

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03715
13715

end0.0ms

sample743.0ms

Algorithm
intervals
Results
346.0ms11125×body80valid